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Finding the Fourth Proportional to 54,984.36, 82,476.18 and 13,431

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Solution

The fourth proportional to 54,984.36, 82,476.18 and 13,431 is: 20,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,984.36 : 82,476.18 = 13,431 : x
  2. Step 2: Convert to fraction form
    54,984.36/82,476.18 = 13,431/x
  3. Step 3: Cross multiply
    54,984.36x = 82,476.18 × 13,431
  4. Step 4: Simplify right side
    54,984.36x = 1,107,737,573.58
  5. Step 5: Solve for x
    x = 1,107,737,573.58/54,984.36
  6. Step 6: Final answer
    x = 20,146.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.